30427987968 has 360 divisors, whose sum is σ = 103050904320. Its totient is φ = 8469872640.

The previous prime is 30427987937. The next prime is 30427987973. The reversal of 30427987968 is 86978972403.

30427987968 is a `hidden beast` number, since 30 + 427 + 98 + 7 + 96 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42319513 + ... + 42320231.

It is an arithmetic number, because the mean of its divisors is an integer number (286252512).

Almost surely, 2^30427987968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30427987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51525452160).

30427987968 is an abundant number, since it is smaller than the sum of its proper divisors (72622916352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30427987968 is an equidigital number, since it uses as much as digits as its factorization.

30427987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 30427987968 in words is "thirty billion, four hundred twenty-seven million, nine hundred eighty-seven thousand, nine hundred sixty-eight".